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(sin t - 2 sin^3 t)/(2 cos^3 t - cos t) simplifies to tan t

The same question, asked 2 times: CDS 2 2021, CDS 2 2024. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    CDS 2 2021

    58
    What is 2sin⁡3θ−sin⁡θcos⁡θ−2cos⁡3θ\frac{2\sin^3\theta - \sin\theta}{\cos\theta - 2\cos^3\theta}, (0∘<θ<90∘)(0^\circ < \theta < 90^\circ) equal to ?

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  2. Question 2

    CDS 2 2024

    40
    What is sin⁡θ−2sin⁡3θ2cos⁡3θ−cos⁡θ\dfrac{\sin\theta - 2\sin^3\theta}{2\cos^3\theta - \cos\theta} equal to ?

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